x(x+4)+(x-4)=100

Simple and best practice solution for x(x+4)+(x-4)=100 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for x(x+4)+(x-4)=100 equation: 


Simplifying
x(x + 4) + (x + -4) = 100

Reorder the terms:
x(4 + x) + (x + -4) = 100
(4 * x + x * x) + (x + -4) = 100
(4x + x2) + (x + -4) = 100

Reorder the terms:
4x + x2 + (-4 + x) = 100

Remove parenthesis around (-4 + x)
4x + x2 + -4 + x = 100

Reorder the terms:
-4 + 4x + x + x2 = 100

Combine like terms: 4x + x = 5x
-4 + 5x + x2 = 100

Solving
-4 + 5x + x2 = 100

Solving for variable 'x'.

Reorder the terms:
-4 + -100 + 5x + x2 = 100 + -100

Combine like terms: -4 + -100 = -104
-104 + 5x + x2 = 100 + -100

Combine like terms: 100 + -100 = 0
-104 + 5x + x2 = 0

Factor a trinomial.
(-13 + -1x)(8 + -1x) = 0


Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve:

Simplifying
-13 + -1x = 0

Solving
-13 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '13' to each side of the equation.
-13 + 13 + -1x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = 0 + 13
-1x = 0 + 13

Combine like terms: 0 + 13 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-13, 8}

See similar equations:

| -.6d+3=11 | | 256^1/4 | | .6d+3=11 | | 104-6c+3= | | 14=5x-31 | | -6(x+1)-12=11+7 | | 13(x-8)=-8-5 | | 68-y^2= | | 3/(x+4)+3=18/(x+4) | | x+4x-4=100 | | x+(x+2)+(x+4)=165 | | 7a+16-3a=1/5 | | (x-2)(x+4)(-3x-4)=0 | | 16x(x-1)=8x-1 | | 16(x-1)=8x-1 | | 57y=8(7y-6) | | 8t^2/3=t/3+1/2 | | z^2+40=14z | | 25x^2+64=80x | | 3x^2-14x-11= | | x+(x+1)+(x+2)+(x+3)=18 | | 6(5x-7)(3x+7)=0 | | (x+2)(3x-2)=0 | | (7a)(-4)= | | 44=4+8p | | t/3=3 | | z/2=15 | | r/4=7 | | y/3=2 | | 2/3(4/5y+3/6)=(2/4y-3/5) | | w/9=3 | | -2.7/108=-27/8/t |

Equations solver categories